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316141930224 = 243267104931237
BaseRepresentation
bin1001001100110111000…
…01110000011011110000
31010020000110211001012200
410212123201300123300
520134424313231344
6401122242423200
731561202032401
oct4463341603360
91106013731180
10316141930224
111120909723aa
125132b361b00
1323a73119903
1411430c9b9a8
15835488d069
hex499b8706f0

316141930224 has 120 divisors (see below), whose sum is σ = 898848459600. Its totient is φ = 103705519104.

The previous prime is 316141930171. The next prime is 316141930231. The reversal of 316141930224 is 422039141613.

316141930224 is a `hidden beast` number, since 3 + 1 + 614 + 1 + 9 + 30 + 2 + 2 + 4 = 666.

It is a Cunningham number, because it is equal to 5622652-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10105134 + ... + 10136370.

It is an arithmetic number, because the mean of its divisors is an integer number (7490403830).

Almost surely, 2316141930224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316141930224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449424229800).

316141930224 is an abundant number, since it is smaller than the sum of its proper divisors (582706529376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316141930224 is a wasteful number, since it uses less digits than its factorization.

316141930224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32367 (or 32358 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 316141930224 in words is "three hundred sixteen billion, one hundred forty-one million, nine hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1049 1072 1206 1608 2098 2412 3147 3216 4196 4824 6294 8392 9441 9648 12588 16784 18882 25176 31237 37764 50352 62474 70283 75528 93711 124948 140566 151056 187422 210849 249896 281132 281133 374844 421698 499792 562264 562266 632547 749688 843396 1124528 1124532 1265094 1499376 1686792 2092879 2249064 2530188 3373584 4185758 4498128 5060376 6278637 8371516 10120752 12557274 16743032 18835911 25114548 32767613 33486064 37671822 50229096 65535226 75343644 98302839 100458192 131070452 150687288 196605678 262140904 294908517 301374576 393211356 524281808 589817034 786422712 1179634068 1572845424 2195430071 2359268136 4390860142 4718536272 6586290213 8781720284 13172580426 17563440568 19758870639 26345160852 35126881136 39517741278 52690321704 79035482556 105380643408 158070965112 316141930224